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LCM of 587, 247, 447, 942

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 587, 247, 447, 942 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 587, 247, 447, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,247,447,942

Given numbers are 587,247,447,942

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 587,247,447,942 is 20350366062.

Find LCM of 587,247,447,942 with Prime Factorization


3 587, 247, 447, 942
587, 247, 149, 314

Multiply the prime numbers at the bottom and the left side.

3 x 587 x 247 x 149 x 314 = 20350366062

Therefore, the lowest common multiple of 587,247,447,942 is 20350366062.

LCM Formula to Find Lowest Common Multiple of 587,247,447,942

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

587 x 247 x 447 x 942 = 61051098186

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

587 : 1, 587

247 : 1, 13, 19, 247

447 : 1, 3, 149, 447

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,247,447,942, is 1.

Now, the common factors can be found like this.

587:587

247:13x 19

447:3x 149

942:2x 3x 157

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 61051098186/(1x3)

LCM = 61051098186/3

LCM = 20350366062

Thus, we can understand that the LCM of 587,247,447,942 is 20350366062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 247, 447, 942

1. What is the LCM of 587, 247, 447, 942?

Answer: LCM of 587, 247, 447, 942 is 20350366062.

2. How to calculate the LCM of 587, 247, 447, 942?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 587, 247, 447, 942.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.